2001774816 has 96 divisors (see below), whose sum is σ = 5981018400. Its totient is φ = 650972160.

The previous prime is 2001774779. The next prime is 2001774823. The reversal of 2001774816 is 6184771002.

2001774816 is a `hidden beast` number, since 2 + 0 + 0 + 177 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7170 + ... + 63678.

It is an arithmetic number, because the mean of its divisors is an integer number (62302275).

Almost surely, 2^2001774816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001774816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990509200).

2001774816 is an abundant number, since it is smaller than the sum of its proper divisors (3979243584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001774816 is a wasteful number, since it uses less digits than its factorization.

2001774816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56569 (or 56555 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2001774816 is about 44741.1981958463. The cubic root of 2001774816 is about 1260.2936277134.

The spelling of 2001774816 in words is "two billion, one million, seven hundred seventy-four thousand, eight hundred sixteen".